AP Calculus BC - Curriculum Calendar



Week of
06-08-2015

Topic
Class Activity
Homework
Assessment
Monday
06-08-2015
Review For final exam
Review for Final Exam


Tuesday
06-09-2015
Exams
Final Exams
A Block and B Block


Wednesday
06-10-2015
Exams
Final Exams
C Block and D Block


Thursday
06-11-2015
Exams
iPad Return 7:50-8:30am
Final Exams
E Block and Make-up Exams


Friday
06-12-2015

School's Out For Summer



Week of
06-01-2015
Topic
Class Activity
Homework
Assessment
Monday
06-01

Group Presentations


Tuesday
06-02

General Calculus Review


Wednesday
06-03

Final Exam


Thursday
06-04

Juniors - Discuss final exam


Friday
06-05

Juniors -




Week of
05-25-2015
Topic
Class Activity
Homework
Assessment
Monday
05-25

No School - Memorial Day


Tuesday
05-26

SBAC - Juniors
Seniors - Work on Projects


Wednesday
05-27

Pre-Teach Performance task
SBAC - Juniors finish MC
Seniors - Work on Projects


Thursday
05-28

SBAC - Performance Task - Juniors
Seniors - Work on Projects


Friday
05-29

Juniors - finish SBAC if necessary
Work on Projects



Week of
05-18-2015
Topic
Class Activity
Homework
Assessment
Monday
05-18

Work on Projects


Tuesday
05-19

Work on Projects


Wednesday
05-20

Work on Projects


Thursday
05-21

Work on Projects


Friday
05-22

Work on Projects - Select Presentation Order



Week of
05-11-2015
Topic
Class Activity
Homework
Assessment
Monday
05-11

Introduce Project - Select groups


Tuesday
05-12

Work on Projects


Wednesday
05-13

Work on Projects


Thursday
05-14

Work on Projects


Friday
05-15

Work on Projects



Week of
05-04-2015
Topic
Class Activity
Homework
Assessment
Monday
05-04

Test Taking Strategies - predictions


Tuesday
05-05

AP CALCULUS EXAM


Wednesday
04-29

Discuss AP Exam


Thursday
04-30

Probability Lesson and Binomial theorem


Friday
05-01

Graph Theory Lesson



Week of
04-27-2015
Topic
Class Activity
Homework
Assessment
Monday
04-27

Review Differential Equations


Tuesday
04-28

Review Related Rates


Wednesday
04-29

Review Advanced techniques of Integration
Trig Substitution, Parts, Partial Fractions


Thursday
04-30

Review Solids of Revolution


Friday
05-01

Review - 2nd fundamental theorem
General Review



Week of
04-20-2015
Topic
Class Activity
Homework
Assessment
Monday
04-20

Review LaGrange Error Bound
Practice

Tuesday
04-21

Review Polar, Vectors, Parametric
Practice

Wednesday
04-22

Review Riemann Sums


Thursday
04-23

Review Optimization


Friday
04-24

Review Euler's Method



Week of
04-06-2015
Topic
Class Activity
Homework
Assessment
Monday
04-06

Review Series Exam


Tuesday
04-07

Review 2008 AP Exam


Wednesday
04-08

Review 2008 AP Exam


Thursday
04-09




Friday
04-10





Week of
03-23-2015
Topic
Class Activity
Homework
Assessment
Monday
03-31

Discussion on Taylor Series
Handout - AP FR questions
n/a
Tuesday
04-01

Grading rubrics - FR AP
scoring rubric link
Review Series Tests

Wednesday
04-02




Thursday
04-03

A-Block Midterm
B-Block Midterm

n/a
Friday
04-04

C-Block Midterm

n/a

Week of
03-23-2015
Topic
Class Activity
Homework
Assessment
Mon 03-23
Discussion on Power Series



Tue 03-24
Practice on Power Series
Power Series and convergence
Self selected odds (11-47)
Power Series as functions
Odds (5-25)


Wed 03-25
Introduce MacLaurin and Taylor Series
Building a Taylor Series


Thu 03-26
Taylor Polynomials and LaGrange Error Bound
Taylor series and Error


Fri 03-27
Taylor and MacLaurin Polynomials
Using common Taylor series
AP Practice



Week of
03-16-2015
Topic
Class Activity
Homework
Assessment
Mon 03-16
Series
Discuss Alternating Series, Root and Ratio Tests
9.4 Alternating Series
9.5 Root and Ratio Tests

Tue 03-17

NEML #6
Problems for Review

Wed 03-18
Power Series
Discuss Problems
Intro Power Series
Power Series

Thu 03-19
Power Series
Power Series, convergence, radius, interval, endpoints
Problems and Solutions
9.6 Convergence

Fri 03-20
Power Series
Functions as Power Series
9.7 Functions as Power Series


Week of
03-09-2015
Topic
Class Activity
Homework
Assessment
Mon 03-09
Series
Comparison test for convergence, p-series,
review convergence of sequences, integral test.
9.1 convergence
9.2 integral test and p-series test
9.3 comparison test

Tue 03-10
Series
Discuss Series problems
Ch. 9 solutions

Wed 03-11
UVM Prize Exam
UVM Prize Exam


Thu 03-12
Series
Comparison, ratio test, alternating series
Hughes Hallett 9.3

Fri 03-13

Teacher Inservice - No School



Week of
03-02-2015
Topic
Class Activity
Homework
Assessment
Mon 03-02
Vectors, Parametric, Polar
Integration Gateway #4
Parametric, Polar, and Vector tutorial practice and solutions

Tue 03-03
Sequences
Sequences introduction, notation, etc
Larsen 9.1 sequences

Wed 03-04
Sequences
Sequences - Day 2
Larsen 9.1 Homework

Thu 03-05
Series
Series - Day 1
Larsen 9.2 series

Fri 03-06
Series
Series - Day 2
Larsen 9.2 Homework


Week of
02-23-2015
Topic
Class Activity
Homework
Assessment
Mon 02-23
Vectors
Vectors and Parametrics discussion
AP problem practice

Tue 02-24
Polar Equations
Polar equations
Link to Dawkins Notes
Polar functions and Area in Polar
Ch. 8 solutions

Wed 02-25

Practice
2007 #3, 2005 #2, 2003B #2

Thu 02-26




Fri 02-27





Week of
02-09-2015
Topic
Class Activity
Homework
Assessment
Mon 02-09

Snow Day


Tue 02-10
Advanced Integration
Exam
revisit vectors
53 integrals

Wed 02-11
Integrals
Return Exam
discuss Exam

Thu 02-12
Vectors
Grade 53 integrals
Discussion - vector calculus and parametric equations
53 integral worked out solutions
Vector Calculus
Parametric Calculus 1
Parametric Arc Length
Vectors, Parametrics
due after break
Fri 02-13
NEML Exam #5
NEML Exam #5
80 integrals revisited


Week of
02-02-2015
Topic
Class Activity
Homework
Assessment
Mon 02-02

Snow Day


Tue 02-03
Improper Integrals
Integration Gateway #3
Improper Integrals and a review of L'Hopitals Rule
improper integrals
L'Hopitals rule

Wed 02-04
Improper Integrals
More practice on improper integrals
Improper Integrals
solutions

Thu 02-05
Vectors
Vectors discussion
n/a

Fri 02-06
Vectors
Vectors - properties - arithmetic
Vectors - component form
Vectors - applications
Vectors - dot product applications
H.H. 12.1 (
H.H. 12.2 (
H.H. 12.3 (
H.H. 12.4 (


Week of
01-26-2015
Topic
Class Activity
Homework
Assessment
Mon 01-26
Q&A Partial fractions
Trig Substitution
Integration using Trig Identities
Integration using Trig substitutions
6.2 trig identities
6.3 trig substitution

Tue 01-27
No School
No School - Snow Day


Wed 01-28
Arc Length
Trig Integrals
Trig Substitution
Arc Length
8.3 Trig Integrals (1-4,7,15,29,44,53,93,95)
8.4 Trig Substitution (1,3,9,14,21,23,27,37,39,43,47,53,62)
5.7 Arc Length
Larson 8.3
Larson 8.4

Thu 01-29
More trig integrals
What Strategy? Do problems 51-70
Larson Review

Fri 01-30
Improper Integrals
Improper Integrals and a review of L'Hopitals Rule
Integration Practice


Week of
01-19-2015
Topic
Class Activity
Homework
Assessment
Mon 01-19
No School
No School - MLK Day


Tue 01-20
No School
No School - Teacher Inservice


Wed 01-21
Review AB Calc Exams
Grade own FR exam questions to compare


Thu 01-22
Partial Fractions
NEML EXAM - partial fractions intro
Great tutorial
Partial Fractions

Fri 01-23
Partial Fractions
Partial fractions (2,3,7-27odd,38,43,62,64)
Partial Fractions practice


Week of
01-12-2015
Topic
Class Activity
Homework
Assessment
Mon 01-12
MidTerm Exam Part 1
No Calc MC Exam

Exam
Tue 01-13
MidTerm Exam Part 2
Calc MC Exam

Exam
Wed 01-14
MidTerm Exam Part 3
FR Calc and No Calc Exam

Exam
Thu 01-15
Other Exams
C and D Block exams


Fri 01-16
Other Exams
E-Block and Make-up exams



Week of
01-05-2015
Topic
Class Activity
Homework
Assessment
Mon 01-05
Integration Techniques
Integration by parts - review work from break
Do: (3,11-37odd,41,45,59,69,78,85)
Parts practice
solutions

Tue 01-06
Differential Equations
What is a differential equation? Yam in an oven problem.
Solutions to DiffEQ - particular solutions
Method of separation of Variables
Slope Fields
tutorial and problems
tutorial and problems

Wed 01-07
Differential Equations
More on Differential Equations and slope fields
AP 2008 #6
Diff Eq practice

Thu 01-08
Differential Equations
DiffEQ - AP style - 2013 #6, 2014 #6


Fri 01-09
Prepare for Midterm
Practice Exam - 2008 - MC
Practice


Week of
12-15-2014
Topic
Class Activity
Homework
Assessment
Mon 12-15
Solids of revolution
Areas and solids of revolution
and solids with known cross sections
tutorial, problems, solutions

Tue 12-16
Applications of Integration
Work on Area/solids problems
see Monday

Wed 12-17
AP Exam question practice
AP exam question practice 2010#4 - solution,
2010B#1 - solution, 2008#1 - solution
AP questions

Thu 12-18
Integration by parts
Integration by parts - our answer to the product rule
tutorial and problems

Fri 12-19
Integration by Parts
Integration by parts - practice

Have a Joyous, Relaxing, Rejuvenating Break
Practice integration by parts
More practice


Week of
12-08-2014
Topic
Class Activity
Homework
Assessment
Mon 12-08
Hyperbolic functions
Discuss hyperbolic functions
Document: Read, analyze, come with questions

Tue 12-09
Hyperbolic functions
Review Section 5.8
Do: p. 398-400 [1,17-31odd,35,43-63odd, 87-95odd]

Wed 12-10
Snow Day



Thu 12-11
Hyperbolic functions
Hyperbolic functions 5.8
Do: p. 398-400 [1,17-31odd,35,43-63odd, 87-95odd]

Fri 12-12
Integration
Integration gateway #2
n/a


Week of
12-01-2014
Topic
Class Activity
Homework
Assessment
Mon 12-01
Integration
Discussion from problems from last week
Integration of natural log 4.9 tutorial
4.9 problems

Tue 12-02
Integration Exam
Happy Birthday Aaron Rodgers
Integration Exam - part 1 - MC

Exam
Wed 12-03
Integration Exam
Integration Exam - part 2 - FR

Exam
Thu 12-04
Exponential, Log, Inverse trig
Intensive review - Larson Text
Sections 5.1 - 5.7
5.1 - (61,67,71,83,89,95,97,99,101,105,119)
5.2 - (1-37EOodd,77,99,110)
5.3 - (85,86,100-106)
5.4 - (41,45,53,57,59,69,72,77, 79,80,81,88,99-125odd,127-134)
5.5 - (41-61odd,67-70,75-89odd, 109,129)
5.6 - (43-61odd,81,101)
5.7 - (1-53 EOodd, 55-57,63,91)

Fri 12-05
Work day on Ch. 5
work day



Week of
11-24-2014
Topic
Class Activity
Homework
Assessment
Mon 11-24
Integration
Integration by Substitution
Text (11-38,47-86)

Tue 11-25
Integration
Discuss Integration by Substitution.
Integration Gateway #1
tutorial, problems

Wed 11-26
Ready
Get yourself ready for the holiday and next week by completing
all your work early - then you can truly relax!


Thu 11-27
Turkey
Happy Thanksgiving!


Fri 11-28
Relaxation
Enjoy the day!



Week of
11-17-2014
Topic
Class Activity
Homework
Assessment
Mon 11-17
Calculators
Tricks tips and tools for calculator calculus
The Anti-Derivative 4.1 tutorial
4.1 problems

Tue 11-18
Integration
Definition of the definite integral 4.3 tutorial
Integration practice
4.3 problems
worksheet

Wed 11-19
FTC
The Fundamental Theorem of Calculus incl avg. value,
mean value for integrals, abs value for integrals
Textbook section 4.4
(1-57odd,58-60,62,66)

Thu 11-20
FTC-2
The Second Fundamental Theorem of Calculus
Textbook section 4.4
(67-105odd,111)

Fri 11-21
Integration
Discuss textbook problems
The Second Fundamental Theorem of Calculus
Integration Practice
4.7 tutorial, problems
practice problems


Week of
11-10-2014
Topic
Class Activity
Homework
Assessment
Mon 11-10
No School - Inservice
No School


Tue 11-11
Riemann Sums
Discuss Left, Right and Midpoint Riemann Sum
Tutorial
Problems

Wed 11-12
Riemann Sums
Trapezoidal Rule Simpson's Rule and Error

Practice with sums and error
Tutorial
Problems
Handout

Thu 11-13
Riemann sums
NEML Exam #2 - 30 minutes
Review Riemann sums and error
n/a

Fri 11-14
Integration
Integral of Rate gives total change
Handout
Do: (2,5,10,11,13,14,15,20,22,29)


Week of
11-03-2014
Topic
Class Activity
Homework
Assessment
Mon 11-03
Applications to differentiation
Discuss Midterm


Tue 11-04
Applications to differentiation
Discuss Midterm


Wed 11-05
Newton's method
DGW#4
Newton's method handout
Read: p.229-232
Do: p. 234 [29-30]

Thu 11-06
Discuss Ch. 3 Exam
How far did the car go? Riemann Sums tutorial

p. 227-228 (1,3,5,9,11,12)

Fri 11-07
Riemann Sum to integration handout
problems
p. 234-236 (2,8,9,14,15,18,21,24,28,29,30)


Week of
10-27-2014
Topic
Class Activity
Homework
Assessment
Mon 10-27
Differentials



Tue 10-28
Tangent line approximation



Wed 10-29
Study for midterm
Study for midterm


Thu 10-30
Midterms
Midterm exam

Exam
Fri 10-31
Midterms
C-Block exam



Week of
10-20-2014
Topic
Class Activity
Homework
Assessment
Mon 10-20
Applications
Second Derivative test - Inflection points
Tutorial Problems

Tue 10-21
Applications
Practice with first and second derivatives
Optimization
Problem Set

Wed 10-22
Applications
Discuss problem sets from Thu, Mon, Tue
n/a

Thu 10-23
Applications
Differentiation Gateway #3
Curve sketching with info from f,f',f"
Tutorial Problems
DGW#3
Fri 10-24
Applications
More Optimization Problems
Tutorial Problems


Week of
10-13-2014
Topic
Class Activity
Homework
Assessment
Mon 10-13

No School
n/a

Tue 10-14
Applications
Rolle's Theorem
Mean Value Theorem
Tutorial Problems
Text problems (1-36 EO odd, 37,53-63,71)

Wed 10-15
Applications
Discuss work from Friday
Discuss MVT and Rolle's Theorem
n/a

Thu 10-16
Applications
First Derivative Test - increasing/decreasingRelative/Local and Absolute/Global Extrema
Tutorial
Problems

Fri 10-17
Applications
NEML test - 30 min w/calculator
Differentiation Gateway #3
n/a


Week of
10-06-2014
Topic
Class Activity
Homework
Assessment
Mon 10-06
Differentiation
Unit 2 Exam
n/a

Tue 10-07
Applications
Related Rates
Related Rates tutorial problems

Wed 10-08
Applications
Related Rates
Related rates practice

Thu 10-09
Applications
Discuss Exam and Related Rates
Continue with Related Rates

Fri 10-10
Applications
Position, Velocity, Acceleration and parametric equations
P,V,A tutorial problems


Week of
09-29-2014
Topic
Class Activity
Homework
Assessment
Mon 9-29
Differentiation
Discuss problems from Thu. and Fri.
Derivatives of Inverse Functions
Section 2 solutions
Section 2.8 tutorial problems

Tue 9-30
Differentiation
Teach Chain rule to AB class
n/a

Wed 10-01
Differentiation
Related Rates
Derivative Gateway exam #1
Related Rates

Thu 10-02
Differentiation
Implicit differentiation practice
practice

Fri 10-03
Differentiation
Derivative Gateway exam #2
Study for Unit 2 Exam Monday


Week of
09-22-2014
Topic
Class Activity
Homework
Assessment
Mon 9-22
Differentiation
Discuss problems from Wed, Thu. and Fri.
Derivatives of Exponential and Logarithmic functions
Section 2.5 tutorialSection 2.5 problems

Tue 9-23
Differentiation
Using the chain rule and inverses to find d/dx ln(x)
Derivative Practice
Handout p.131-132(1-48) solutions

Wed 9-24
Differentiation
Derivatives of Inverse Trig functions
Derive d/dx arcsin(x)
Derive d/dx arccos(x), arcsec(x), arctan(x),
arccot(x), arccsc(x)

Thu 9-25
Differentiation
Using derivatives of inverse trig functions
Tangent lines and Normal lines
Section 2.9 tutorial, Section 2.9 problems
Section 2.6 tutorial, Section 2.6 problems

Fri 9-26
Differentiation
Implicit differentiation
Section 2.7 tutorial, Section 2.7 problems


Week of
09-15-2014
Topic
Class Activity
Homework
Assessment
Mon 9-15
Differentiation
Discuss problems from Fri.
Product rule, quotient rule
product/quotient rule tutorial, problems

Tue 9-16
Differentiation
Discuss product and quotient rule
revisit problems from yesterday

Wed 9-17
Differentiation
The Chain Rule
2.3 tutorial2.3 problems

Thu 9-18
Differentiation
Derivative of Tangent, Secant, Cosecant, Cotangent
tutorial
p.137-140 (1-106 EO odd, 108-115, 123,125)

Fri 9-19
Differentiation
Derivatives of functions involving Trig
- Mr. Caraco's Limits Exam
tutorial problems
Limits Exam



Week of
09-08-2014
Topic
Class Activity
Homework
Assessment
Mon 9-08
Rates of Change
Discuss problems from Thu and Limits exam
Secant line to tangent line, difference
quotient. Trig Gateway details
Prepare for Trig Gateway tomorrow

Tue 9-09
Differentiation
Trig Gateway
Introduction to Differentiation
Take notes on p. 96-103
Do: p.103-106 [1-105 Every Other Odd]
Gateway
Wed 9-10
Differentiation
More work on Differentiation
Tutorial - Problems
due Thu
Thu 9-11
Differentiation
Discuss Thursday's assignment
Trig Gateway Exam
n/a
Trig Gateway
Fri 9-12

Sketch Derivatives
Derivative Rules
Take notes on p. 107-114Do: p.115-118 (2-30,39-54,59,65)


Week of
09-01-2014
Topic
Class Activity
Homework
Assessment
Mon 9-01
n/a
Labor Day - No School


Tue 9-02
Limits
Discuss Limits Handout
Finish packet
Mr. Caraco's problem

Wed 9-03
Limits
Discuss Limits - Solutions
Look at another resource
Read section 1.3 p.59-66 and section 1.4
p.70-78 be ready for Homework quiz Thursday.

Thu 9-04
Limits and ROC
Limits and Continuity - wrap up discussion
Average Rates of Change
HW Quiz
Do Problems (7,15,19,20,23,27,28) at end of Handout
HW QUIZ
solutions
Fri 9-05
Limits
Limits Assessment
n/a


Week of
08-25-2014
Topic
Class Activity
Homework
Assessment
Mon 8-25
n/a
Teacher Inservice - no school


Tue 8-26
n/a
Teacher Inservice - no school


Wed 8-27
n/a
Freshmen and Junior Jumpstart - no class


Thu 8-28
How Fast?
(handout) Approximate the speed of cars coming down Seminary Ave.
Video 1, Video 2, Video 3
Syllabus
Signature Form
Fri 8-29
Continuity and Limits
Discussion on limiting behavior and continuity. Tutorial (pages in reverse order)
Textbook distribution: All of Chapter P is required prior knowledge - review it
Information on Limits starts on p. 41
Problems
Text no.
Due Tuesday